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On element mass conservation in Eulerian stochastic fields modeling of turbulent combustion

Xu, Shijie LU orcid ; Zhong, Shenghui LU ; Zhang, Fan LU and Bai, Xue Song LU (2022) In Combustion and Flame 239.
Abstract

Eulerian stochastic fields (ESF) based transported PDF method has evolved as one of the general purpose methods for the numerical simulation of complex chemically reactive turbulent flows in which the effect of turbulence on the chemical reaction rates can be computed directly without the need of modeling. It is found that ESF method may suffer from violation of the element mass conservation law due to the stochastic Wiener process and the highly non-linear dependence of the chemical reaction rates on the stochastic fields. This paper presents a modified ESF method to remove the error in the element mass conservation. The method is evaluated in numerical simulation of two turbulent flames, (i) Reynolds averaged Navier-Stokes (RANS)... (More)

Eulerian stochastic fields (ESF) based transported PDF method has evolved as one of the general purpose methods for the numerical simulation of complex chemically reactive turbulent flows in which the effect of turbulence on the chemical reaction rates can be computed directly without the need of modeling. It is found that ESF method may suffer from violation of the element mass conservation law due to the stochastic Wiener process and the highly non-linear dependence of the chemical reaction rates on the stochastic fields. This paper presents a modified ESF method to remove the error in the element mass conservation. The method is evaluated in numerical simulation of two turbulent flames, (i) Reynolds averaged Navier-Stokes (RANS) simulation of a turbulent non-premixed methane/air counterflow flame under stationary burning and transient flame extinction conditions, (ii) large eddy simulation of swirling turbulent methane/air non-premixed flames under local extinction and re-ignition conditions. The original ESF method violates the element mass conservation in both flames, and the element mass error would not disappear even if a large number of stochastic fields were used. The new method yields a satisfactory prediction of the element mass conservation even with a small number of stochastic fields. The new and original methods predict similar stationary flame structures but the results under flame extinction and re-ignition conditions are rather different.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Eulerian stochastic fields, Large eddy simulation, Transported probability density function, Turbulent combustion
in
Combustion and Flame
volume
239
article number
111577
publisher
Elsevier
external identifiers
  • scopus:85110525607
ISSN
0010-2180
DOI
10.1016/j.combustflame.2021.111577
language
English
LU publication?
yes
id
047ed826-0cce-4f47-a54f-831db0b77773
date added to LUP
2021-09-06 11:13:40
date last changed
2022-10-31 14:59:20
@article{047ed826-0cce-4f47-a54f-831db0b77773,
  abstract     = {{<p>Eulerian stochastic fields (ESF) based transported PDF method has evolved as one of the general purpose methods for the numerical simulation of complex chemically reactive turbulent flows in which the effect of turbulence on the chemical reaction rates can be computed directly without the need of modeling. It is found that ESF method may suffer from violation of the element mass conservation law due to the stochastic Wiener process and the highly non-linear dependence of the chemical reaction rates on the stochastic fields. This paper presents a modified ESF method to remove the error in the element mass conservation. The method is evaluated in numerical simulation of two turbulent flames, (i) Reynolds averaged Navier-Stokes (RANS) simulation of a turbulent non-premixed methane/air counterflow flame under stationary burning and transient flame extinction conditions, (ii) large eddy simulation of swirling turbulent methane/air non-premixed flames under local extinction and re-ignition conditions. The original ESF method violates the element mass conservation in both flames, and the element mass error would not disappear even if a large number of stochastic fields were used. The new method yields a satisfactory prediction of the element mass conservation even with a small number of stochastic fields. The new and original methods predict similar stationary flame structures but the results under flame extinction and re-ignition conditions are rather different.</p>}},
  author       = {{Xu, Shijie and Zhong, Shenghui and Zhang, Fan and Bai, Xue Song}},
  issn         = {{0010-2180}},
  keywords     = {{Eulerian stochastic fields; Large eddy simulation; Transported probability density function; Turbulent combustion}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Combustion and Flame}},
  title        = {{On element mass conservation in Eulerian stochastic fields modeling of turbulent combustion}},
  url          = {{http://dx.doi.org/10.1016/j.combustflame.2021.111577}},
  doi          = {{10.1016/j.combustflame.2021.111577}},
  volume       = {{239}},
  year         = {{2022}},
}